Rega Exact - output too high for my Cornet 2?

Hi all. My AT440MLa just met with an untimely demise, and I'm considering replacing it with a Rega Exact on my RP6. The output of that cartridge is pretty high, though, at 6.8-7.2 mV. Should I expect any issues with the gain from a mostly stock Cornet 2? I've upgraded the caps, but not changed values of any components. Thanks in advance for any help!